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Finding the Fourth Proportional to 105,648, 145,794.24 and 63,212.64

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Solution

The fourth proportional to 105,648, 145,794.24 and 63,212.64 is: 87,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,648 : 145,794.24 = 63,212.64 : x
  2. Step 2: Convert to fraction form
    105,648/145,794.24 = 63,212.64/x
  3. Step 3: Cross multiply
    105,648x = 145,794.24 × 63,212.64
  4. Step 4: Simplify right side
    105,648x = 9,216,038,807.19
  5. Step 5: Solve for x
    x = 9,216,038,807.19/105,648
  6. Step 6: Final answer
    x = 87,233.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.